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for me 50/50 lead to check with kk here. the prob i have with this pot is a naked k makes no sense as i cant see him shoving river, and its hard to put him on an ace, and even then why would he jam this as you don't like your hand. however, sets make a lot of sense here as they think/hope you have ak and 67 would be a worry from how he has played the hand (and he could call with 67 pre as you are both deep). his range is a bluff or something that crushes you. i would lay down here a lot, prob on turn tbh unless you have a specific read that he floats a lot.
how many people play a 4 stack pot here with air and what hand can he actually have called you with pre that is bluffing?
i fold turn, wait for a hand and play/ build a big pot on my terms not his.